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Simplifying 8(2 + -1n) + -1 = n + 3(-5n + -1) + 7 (2 * 8 + -1n * 8) + -1 = n + 3(-5n + -1) + 7 (16 + -8n) + -1 = n + 3(-5n + -1) + 7 Reorder the terms: 16 + -1 + -8n = n + 3(-5n + -1) + 7 Combine like terms: 16 + -1 = 15 15 + -8n = n + 3(-5n + -1) + 7 Reorder the terms: 15 + -8n = n + 3(-1 + -5n) + 7 15 + -8n = n + (-1 * 3 + -5n * 3) + 7 15 + -8n = n + (-3 + -15n) + 7 Reorder the terms: 15 + -8n = -3 + 7 + n + -15n Combine like terms: -3 + 7 = 4 15 + -8n = 4 + n + -15n Combine like terms: n + -15n = -14n 15 + -8n = 4 + -14n Solving 15 + -8n = 4 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. 15 + -8n + 14n = 4 + -14n + 14n Combine like terms: -8n + 14n = 6n 15 + 6n = 4 + -14n + 14n Combine like terms: -14n + 14n = 0 15 + 6n = 4 + 0 15 + 6n = 4 Add '-15' to each side of the equation. 15 + -15 + 6n = 4 + -15 Combine like terms: 15 + -15 = 0 0 + 6n = 4 + -15 6n = 4 + -15 Combine like terms: 4 + -15 = -11 6n = -11 Divide each side by '6'. n = -1.833333333 Simplifying n = -1.833333333
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